Ricci collineations of the Bianchi type II,VIII, and IX space-times |
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Authors: | I. Yavuz U. Camci |
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Affiliation: | (1) Art and Science Faculty, Department of Mathematics, Canakkale Onsekiz Mart University, 171 00 Canakkale, Turkey |
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Abstract: | Ricci and contracted Ricci collineations of the Bianchi type II, VIII, and IX space-times, associated with the vector fields of the form (i) one component ofa(xb) is different from zero and (ii) two components ofa(xb) are different from zero, fora, b=1, 2, 3, 4, are presented. In subcase (i.b), which isa= (0,1(xa),0,0), some known solutions are found, and in subcase (i.d), which isa=(0, 0, 0,4(xa)), choosingS(t) = const.×R(t), the Bianchi type II, VIII, and IX spacetime is reduced to the Robertson-Walker metric. |
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